If we have a uniform block of material, its mass is dependent on the geometrical

Question

If we have a uniform block of material, its mass is dependent on the geometrical properties of the block (its volume) and a property of the material that is independent of the size of the particular bloc (the density). We can then write:

(mass) = (density)(volume)

in order to separate those factors.

Consider a cylindrical resistor of cross sectional area, A, and length, L, carrying an electrical current perpendicular to A and parallel to L. Write a decomposition of the resistance of the cylinder on the geometrical properties of the resistor (A and L) and on other properties of the material that are independent of the size and shape of the resistor.

Explanation / Answer

Resistance,R
Resistivity,

R = (L)/A

resistivity is independent of the dimensions of the resistor. It depends on the properties of the material.

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